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Finding the Third Proportional to 427,839 and 916,408

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Solution

The third proportional to 427,839 and 916,408 is: 1,962,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,839 : 916,408 = 916,408 : x
  2. Step 2: Convert to fraction form
    427,839/916,408 = 916,408/x
  3. Step 3: Cross multiply
    427,839x = 916,408 × 916,408
  4. Step 4: Simplify right side
    427,839x = 839,803,622,464
  5. Step 5: Solve for x
    x = 839,803,622,464/427,839
  6. Step 6: Final answer
    x = 1,962,896.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.